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help? functions and derivatives?

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asked Apr 28, 2015 in CALCULUS by anonymous

3 Answers

0 votes

13)

The given function is image

Find the derivative with respect to x.

image

Find the slope of the tangent at x = 1.

image

image

Find the point of the tangent on the curve.

image

Substitute x = 1.

image

The point is (1 , 4).

Find the tangent equation by using the formula.

Substitute m = 2 and .

image

Therefore, the equation of the tangent is image.

answered Apr 28, 2015 by bradely Mentor
edited Apr 28, 2015 by bradely
0 votes

(14)

Step 1:

The position function is image.

Find the velocity image at time image.

image

Apply derivative on each side with respect to image.

image

image

Apply power rule of derivatives  image.

image

image

image.

The velocity of the object at time image is image.

Solution:

The velocity of the object at time image is image.

answered Apr 29, 2015 by Sammi Mentor
0 votes

(15)

Step 1:

The velocity of the object at time is .

If the object stops, then the velocity of the object becomes zero.

In this case the velocity of the object never becomes zero.

image, for all values of .

Therefore, the object never stops moving.

Solution:

The object never stops moving.

answered Apr 29, 2015 by Sammi Mentor
reshown Apr 29, 2015 by casacop

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